example 5 find permutations of n objects taken r at a time music you are burning a demo cd for your...
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![Page 1: EXAMPLE 5 Find permutations of n objects taken r at a time Music You are burning a demo CD for your band. Your band has 12 songs stored on your computer](https://reader035.vdocuments.net/reader035/viewer/2022072010/56649dbc5503460f94aaf0c1/html5/thumbnails/1.jpg)
EXAMPLE 5 Find permutations of n objects taken r at a time
Music
You are burning a demo CD for your band. Your band has 12 songs stored on your computer. However, you want to put only 4 songs on the demo CD. In how many orders can you burn 4 of the 12 songs onto the CD?
SOLUTION
Find the number of permutations of 12 objects taken 4 at a time.
( 12 – 4 )!12P4 =12!
= 11,880 = 12!8!
479,001,60040,320
=
ANSWER
You can burn 4 of the 12 songs in 11,880 different orders.
![Page 2: EXAMPLE 5 Find permutations of n objects taken r at a time Music You are burning a demo CD for your band. Your band has 12 songs stored on your computer](https://reader035.vdocuments.net/reader035/viewer/2022072010/56649dbc5503460f94aaf0c1/html5/thumbnails/2.jpg)
GUIDED PRACTICE for Example 5
Find the number of permutations.
5P34.
= 60ANSWER
= 4ANSWER
5. 4P1
6. 8P5
= 6720 ANSWER
![Page 3: EXAMPLE 5 Find permutations of n objects taken r at a time Music You are burning a demo CD for your band. Your band has 12 songs stored on your computer](https://reader035.vdocuments.net/reader035/viewer/2022072010/56649dbc5503460f94aaf0c1/html5/thumbnails/3.jpg)
GUIDED PRACTICE for Example 5
Find the number of permutations.
7. 12P7
= 3,991,680ANSWER